Show that, on a nontrivial vector space, a linear transformation is nilpotent if and only if its

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Show that, on a nontrivial vector space, a linear transformation is nilpotent if and only if its only eigenvalue is zero.

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Linear Algebra

ISBN: 9780982406212

1st Edition

Authors: Jim Hefferon

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Question Posted: Jun 01, 2016 02:28 AM

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Show that, on a nontrivial vector space, a linear transformation is nilpotent if and only if its

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Let the linear transformation be t V V If t is nilpotent then th...View the full answer

Linear Algebra

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